Finding the Third Proportional to 90,385 and 196,855

Step by Step Solution

1. Step 1: Write the proportion equation
   90,385 : 196,855 = 196,855 : x
2. Step 2: Convert to fraction form
   90,385/196,855 = 196,855/x
3. Step 3: Cross multiply
   90,385x = 196,855 × 196,855
4. Step 4: Simplify right side
   90,385x = 38,751,891,025
5. Step 5: Solve for x
   x = 38,751,891,025/90,385
6. Step 6: Final answer
   x = 428,742.50